Hi chito-
You will not be able to easily acquire the digital signals with your DAQ card because your device is intended for serial operation. It will be much easier to interface via serial than with your DAQ card because the protocols are already established and work well for serial.
It will be extremely difficult (with an M Series card and clocked digital I/O) or impossible (with an E Series card or other NI card without clocked digital I/O) to acquire the data with DAQ, but it should be relatively easy to work with in serial. For help on this I would suggest visiting the Instrument Control forum or contacting your device manufacturer directly.
Thanks-
Tom W
National Instruments